General Aptitude

Averages Tutorial

Averages are often combined with other topics. Master Sum = Average × Count for quick solutions.

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Key Formulas

Basic Average

Open

Calculate average of numbers.

Find Missing Value

Open

Find unknown value given average.

Basic Average

Calculate average of numbers.

When to Use: Basic average questions.

Step-by-Step Method

  1. Average = Sum of values / Number of values
  2. Sum = Average × Number

Worked Example

Question: Numbers: 12, 14, 16, 18, 20. Find average.

  1. Sum = 12+14+16+18+20 = 80
  2. Number of values = 5
  3. Average = 80/5 = 16

Final Answer: 16

Option Analysis

Common Mistakes

Quick Shortcut: Average = Sum/Count. Sum = Average × Count.

Practice This Pattern

5 Q 10 Q 15 Q

Generated 5 focused questions for this pattern.

Q1. Two values are in ratio 7:4. If total is 90, find first value.

  • 63
  • 54
  • 57
  • 60

Answer: 57

Explanation: Step 1: Total parts = 7+4. Step 2: One part = 90/(11). Step 3: First value = 7 parts = 57.

Q2. Two values are in ratio 7:4. If total is 180, find first value.

  • 117
  • 111
  • 114
  • 120

Answer: 114

Explanation: Step 1: Total parts = 7+4. Step 2: One part = 180/(11). Step 3: First value = 7 parts = 114.

Q3. Two values are in ratio 7:7. If total is 230, find first value.

  • 121
  • 112
  • 118
  • 115

Answer: 115

Explanation: Step 1: Total parts = 7+7. Step 2: One part = 230/(14). Step 3: First value = 7 parts = 115.

Q4. Two values are in ratio 3:6. If total is 100, find first value.

  • 39
  • 33
  • 36
  • 30

Answer: 33

Explanation: Step 1: Total parts = 3+6. Step 2: One part = 100/(9). Step 3: First value = 3 parts = 33.

Q5. Two values are in ratio 3:7. If total is 230, find first value.

  • 66
  • 69
  • 72
  • 75

Answer: 69

Explanation: Step 1: Total parts = 3+7. Step 2: One part = 230/(10). Step 3: First value = 3 parts = 69.